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Simplifying 10 + -8(3 + -1s) + 5(s + 3) = 30 10 + (3 * -8 + -1s * -8) + 5(s + 3) = 30 10 + (-24 + 8s) + 5(s + 3) = 30 Reorder the terms: 10 + -24 + 8s + 5(3 + s) = 30 10 + -24 + 8s + (3 * 5 + s * 5) = 30 10 + -24 + 8s + (15 + 5s) = 30 Reorder the terms: 10 + -24 + 15 + 8s + 5s = 30 Combine like terms: 10 + -24 = -14 -14 + 15 + 8s + 5s = 30 Combine like terms: -14 + 15 = 1 1 + 8s + 5s = 30 Combine like terms: 8s + 5s = 13s 1 + 13s = 30 Solving 1 + 13s = 30 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13s = 30 + -1 Combine like terms: 1 + -1 = 0 0 + 13s = 30 + -1 13s = 30 + -1 Combine like terms: 30 + -1 = 29 13s = 29 Divide each side by '13'. s = 2.230769231 Simplifying s = 2.230769231
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